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1457235361 is a prime number
BaseRepresentation
bin101011011011011…
…1010010110100001
310202120001020010001
41112312322112201
510441023012421
6400333340001
751053203411
oct12666722641
93676036101
101457235361
1168863154a
12348037601
131a2b9b25a
14db770641
1587ded691
hex56dba5a1

1457235361 has 2 divisors, whose sum is σ = 1457235362. Its totient is φ = 1457235360.

The previous prime is 1457235301. The next prime is 1457235379. The reversal of 1457235361 is 1635327541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978500961 + 478734400 = 31281^2 + 21880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1457235361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1457235361.

It is not a weakly prime, because it can be changed into another prime (1457235301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 728617680 + 728617681.

It is an arithmetic number, because the mean of its divisors is an integer number (728617681).

Almost surely, 21457235361 is an apocalyptic number.

It is an amenable number.

1457235361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1457235361 is an equidigital number, since it uses as much as digits as its factorization.

1457235361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The square root of 1457235361 is about 38173.7522520383. The cubic root of 1457235361 is about 1133.7306829230.

The spelling of 1457235361 in words is "one billion, four hundred fifty-seven million, two hundred thirty-five thousand, three hundred sixty-one".