257248654542 has 32 divisors (see below), whose sum is σ = 623633103360. Its totient is φ = 77954137560.

The previous prime is 257248654541. The next prime is 257248654561. The reversal of 257248654542 is 245456842752.

257248654542 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 48 + 6 + 54 + 542 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257248654541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216538678 + ... + 216539865.

It is an arithmetic number, because the mean of its divisors is an integer number (19488534480).

Almost surely, 2^257248654542 is an apocalyptic number.

257248654542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257248654542 is an abundant number, since it is smaller than the sum of its proper divisors (366384448818).

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

257248654542 is a wasteful number, since it uses less digits than its factorization.

257248654542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433078565 (or 433078559 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 257248654542 in words is "two hundred fifty-seven billion, two hundred forty-eight million, six hundred fifty-four thousand, five hundred forty-two".