1007085952 has 32 divisors (see below), whose sum is σ = 2055249000. Its totient is φ = 491258880.

The previous prime is 1007085931. The next prime is 1007085953. The reversal of 1007085952 is 2595807001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1007085952² = 2028444229431492608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007085953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90702 + ... + 101197.

Almost surely, 2^1007085952 is an apocalyptic number.

It is an amenable number.

1007085952 is an abundant number, since it is smaller than the sum of its proper divisors (1048163048).

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

1007085952 is an equidigital number, since it uses as much as digits as its factorization.

1007085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191954 (or 191942 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 1007085952 is about 31734.6175650503. The cubic root of 1007085952 is about 1002.3564268908.

The spelling of 1007085952 in words is "one billion, seven million, eighty-five thousand, nine hundred fifty-two".