1010581320 has 128 divisors (see below), whose sum is σ = 3668716800. Its totient is φ = 217399296.

The previous prime is 1010581279. The next prime is 1010581321. The reversal of 1010581320 is 231850101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1010581321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21105 + ... + 49664.

It is an arithmetic number, because the mean of its divisors is an integer number (28661850).

Almost surely, 2^1010581320 is an apocalyptic number.

1010581320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010581320 is an abundant number, since it is smaller than the sum of its proper divisors (2658135480).

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

1010581320 is a wasteful number, since it uses less digits than its factorization.

1010581320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70807 (or 70803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1010581320 is about 31789.6417092109. The cubic root of 1010581320 is about 1003.5147388048.

It can be divided in two parts, 101058 and 1320, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 1010581320 in words is "one billion, ten million, five hundred eighty-one thousand, three hundred twenty".