1257641082 has 48 divisors (see below), whose sum is σ = 2747047680. Its totient is φ = 415821600.

The previous prime is 1257641069. The next prime is 1257641083. The reversal of 1257641082 is 2801467521.

1257641082 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 641 + 0 + 8 + 2 = 666.

It is a super-2 number, since 2×1257641082² = 3163322182268261448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1257641083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516644 + ... + 1517472.

It is an arithmetic number, because the mean of its divisors is an integer number (57230160).

Almost surely, 2^1257641082 is an apocalyptic number.

1257641082 is an abundant number, since it is smaller than the sum of its proper divisors (1489406598).

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

1257641082 is a wasteful number, since it uses less digits than its factorization.

1257641082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1257641082 is about 35463.2356391799. The cubic root of 1257641082 is about 1079.4078492587.

The spelling of 1257641082 in words is "one billion, two hundred fifty-seven million, six hundred forty-one thousand, eighty-two".