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2053115525 = 52234135081
BaseRepresentation
bin111101001100000…
…0000111010000101
312022002022002000202
41322120000322011
513201044144100
6535421220245
7101610123356
oct17230007205
95262262022
102053115525
11963a2609a
12493701685
13269483876
14156963d2d
15c03a57d5
hex7a600e85

2053115525 has 12 divisors (see below), whose sum is σ = 2547023364. Its totient is φ = 1641744000.

The previous prime is 2053115513. The next prime is 2053115527. The reversal of 2053115525 is 5255113502.

It can be written as a sum of positive squares in 6 ways, for example, as 40157569 + 2012957956 = 6337^2 + 44866^2 .

It is not a de Polignac number, because 2053115525 - 210 = 2053114501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053115527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40985 + ... + 76065.

It is an arithmetic number, because the mean of its divisors is an integer number (212251947).

Almost surely, 22053115525 is an apocalyptic number.

2053115525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2053115525 is a deficient number, since it is larger than the sum of its proper divisors (493907839).

2053115525 is a wasteful number, since it uses less digits than its factorization.

2053115525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37432 (or 37427 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 2053115525 is about 45311.3178466484. The cubic root of 2053115525 is about 1270.9773048631.

The spelling of 2053115525 in words is "two billion, fifty-three million, one hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 5 25 2341 11705 35081 58525 175405 877025 82124621 410623105 2053115525