257005705614 has 64 divisors (see below), whose sum is σ = 590033590272. Its totient is φ = 73106460000.

The previous prime is 257005705603. The next prime is 257005705633. The reversal of 257005705614 is 416507500752.

It is a happy number.

It is a super-2 number, since 2×257005705614² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37642069 + ... + 37648895.

It is an arithmetic number, because the mean of its divisors is an integer number (9219274848).

Almost surely, 2^257005705614 is an apocalyptic number.

257005705614 is an abundant number, since it is smaller than the sum of its proper divisors (333027884658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257005705614 is a wasteful number, since it uses less digits than its factorization.

257005705614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661.

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 257005705614 in words is "two hundred fifty-seven billion, five million, seven hundred five thousand, six hundred fourteen".