257451051 has 64 divisors (see below), whose sum is σ = 419489280. Its totient is φ = 139201920.

The previous prime is 257451037. The next prime is 257451059. The reversal of 257451051 is 150154752.

257451051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257451051 - 2¹⁰ = 257450027 is a prime.

It is a super-2 number, since 2×257451051² = 132562087322009202, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257451059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3842520 + ... + 3842586.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2^257451051 is an apocalyptic number.

257451051 is a deficient number, since it is larger than the sum of its proper divisors (162038229).

257451051 is a wasteful number, since it uses less digits than its factorization.

257451051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 257451051 is about 16045.2812689588. The cubic root of 257451051 is about 636.1578486610.

It can be divided in two parts, 25745 and 1051, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 257451051 in words is "two hundred fifty-seven million, four hundred fifty-one thousand, fifty-one".