642581307 has 12 divisors (see below), whose sum is σ = 928595304. Its totient is φ = 428192640.

The previous prime is 642581287. The next prime is 642581353. The reversal of 642581307 is 703185246.

642581307 is a `hidden beast` number, since 6 + 42 + 581 + 30 + 7 = 666.

It is not a de Polignac number, because 642581307 - 2¹² = 642577211 is a prime.

It is a super-2 number, since 2×642581307² = 825821472211656498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642581377) 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, 6283 + ... + 36395.

It is an arithmetic number, because the mean of its divisors is an integer number (77382942).

Almost surely, 2^642581307 is an apocalyptic number.

642581307 is a deficient number, since it is larger than the sum of its proper divisors (286013997).

642581307 is a wasteful number, since it uses less digits than its factorization.

642581307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32490 (or 32487 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 642581307 is about 25349.1875017721. The cubic root of 642581307 is about 862.9309171231.

The spelling of 642581307 in words is "six hundred forty-two million, five hundred eighty-one thousand, three hundred seven".