257131150655033 has 32 divisors (see below), whose sum is σ = 272267655360000. Its totient is φ = 242331453112320.

The previous prime is 257131150655023. The next prime is 257131150655111. The reversal of 257131150655033 is 330556051131752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257131150655033 - 2²² = 257131146460729 is a prime.

It is a super-2 number, since 2×257131150655033² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257131150655023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10973960828 + ... + 10973984258.

It is an arithmetic number, because the mean of its divisors is an integer number (8508364230000).

Almost surely, 2^{257131150655033} is an apocalyptic number.

257131150655033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

257131150655033 is a deficient number, since it is larger than the sum of its proper divisors (15136504704967).

257131150655033 is a wasteful number, since it uses less digits than its factorization.

257131150655033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30009.

The product of its (nonzero) digits is 1417500, while the sum is 47.

The spelling of 257131150655033 in words is "two hundred fifty-seven trillion, one hundred thirty-one billion, one hundred fifty million, six hundred fifty-five thousand, thirty-three".