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1051253651253 = 3131071571604573
BaseRepresentation
bin11110100110000111001…
…10011011011100110101
310201111110200012200022210
433103003212123130311
5114210431413320003
62122534514044033
7135644021412501
oct17230346333465
93644420180283
101051253651253
1137591a309763
1214b8a6879619
1378195996030
1438c49471301
151c52b1e3503
hexf4c399b735

1051253651253 has 32 divisors (see below), whose sum is σ = 1533305241216. Its totient is φ = 636796862208.

The previous prime is 1051253651251. The next prime is 1051253651257. The reversal of 1051253651253 is 3521563521501.

It is not a de Polignac number, because 1051253651253 - 21 = 1051253651251 is a prime.

It is a super-2 number, since 2×10512536512532 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051253651251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147126 + ... + 1457447.

It is an arithmetic number, because the mean of its divisors is an integer number (47915788788).

Almost surely, 21051253651253 is an apocalyptic number.

1051253651253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1051253651253 is a deficient number, since it is larger than the sum of its proper divisors (482051589963).

1051253651253 is a wasteful number, since it uses less digits than its factorization.

1051253651253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604853.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 1051253651253 in words is "one trillion, fifty-one billion, two hundred fifty-three million, six hundred fifty-one thousand, two hundred fifty-three".

Divisors: 1 3 13 39 107 157 321 471 1391 2041 4173 6123 16799 50397 218387 655161 1604573 4813719 20859449 62578347 171689311 251917961 515067933 755753883 2231961043 3274933493 6695883129 9824800479 26955221827 80865665481 350417883751 1051253651253