1007561130 has 32 divisors (see below), whose sum is σ = 2421010944. Its totient is φ = 268364736.

The previous prime is 1007561129. The next prime is 1007561131. The reversal of 1007561130 is 311657001.

It is an interprime number because it is at equal distance from previous prime (1007561129) and next prime (1007561131).

It is a self number, because there is not a number n which added to its sum of digits gives 1007561130.

It is not an unprimeable number, because it can be changed into a prime (1007561131) 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, 6432 + ... + 45348.

It is an arithmetic number, because the mean of its divisors is an integer number (75656592).

Almost surely, 2^1007561130 is an apocalyptic number.

1007561130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007561130 is an abundant number, since it is smaller than the sum of its proper divisors (1413449814).

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

1007561130 is a wasteful number, since it uses less digits than its factorization.

1007561130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39790.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1007561130 is about 31742.1034274668. The cubic root of 1007561130 is about 1002.5140509180.

The spelling of 1007561130 in words is "one billion, seven million, five hundred sixty-one thousand, one hundred thirty".