1009751625 has 24 divisors (see below), whose sum is σ = 1820247624. Its totient is φ = 538533600.

The previous prime is 1009751597. The next prime is 1009751651. The reversal of 1009751625 is 5261579001.

It can be written as a sum of positive squares in 4 ways, for example, as 236021769 + 773729856 = 15363^2 + 27816^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1009751625 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1009751625.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447654 + ... + 449903.

It is an arithmetic number, because the mean of its divisors is an integer number (75843651).

Almost surely, 2^1009751625 is an apocalyptic number.

1009751625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1009751625 is a deficient number, since it is larger than the sum of its proper divisors (810495999).

1009751625 is an equidigital number, since it uses as much as digits as its factorization.

1009751625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897578 (or 897565 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1009751625 is about 31776.5892600197. The cubic root of 1009751625 is about 1003.2400325182.

The spelling of 1009751625 in words is "one billion, nine million, seven hundred fifty-one thousand, six hundred twenty-five".