257137501 has 2 divisors, whose sum is σ = 257137502. Its totient is φ = 257137500.

The previous prime is 257137499. The next prime is 257137511. The reversal of 257137501 is 105731752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238733401 + 18404100 = 15451^2 + 4290^2 .

It is a cyclic number.

It is not a de Polignac number, because 257137501 - 2¹ = 257137499 is a prime.

It is a super-2 number, since 2×257137501² = 132239388841050002, which contains 22 as substring.

Together with 257137499, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257137511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128568750 + 128568751.

It is an arithmetic number, because the mean of its divisors is an integer number (128568751).

Almost surely, 2^257137501 is an apocalyptic number.

It is an amenable number.

257137501 is a deficient number, since it is larger than the sum of its proper divisors (1).

257137501 is an equidigital number, since it uses as much as digits as its factorization.

257137501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 257137501 is about 16035.5075067801. The cubic root of 257137501 is about 635.8994845634.

The spelling of 257137501 in words is "two hundred fifty-seven million, one hundred thirty-seven thousand, five hundred one".