257191429 has 12 divisors (see below), whose sum is σ = 297579520. Its totient is φ = 221502600.

The previous prime is 257191423. The next prime is 257191499. The reversal of 257191429 is 924191752.

It is a happy number.

257191429 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 257191429 - 2³ = 257191421 is a prime.

It is a super-2 number, since 2×257191429² = 132294862302124082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257191391 and 257191400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257191421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53637 + ... + 58234.

Almost surely, 2^257191429 is an apocalyptic number.

It is an amenable number.

257191429 is a deficient number, since it is larger than the sum of its proper divisors (40388091).

257191429 is a wasteful number, since it uses less digits than its factorization.

257191429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111912 (or 111901 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 257191429 is about 16037.1889369677. The cubic root of 257191429 is about 635.9439359952.

It can be divided in two parts, 25719 and 1429, that multiplied together give a triangular number (36752451 = T₈₅₇₃).

The spelling of 257191429 in words is "two hundred fifty-seven million, one hundred ninety-one thousand, four hundred twenty-nine".