10251564 has 24 divisors (see below), whose sum is σ = 25179840. Its totient is φ = 3237264.

The previous prime is 10251557. The next prime is 10251569. The reversal of 10251564 is 46515201.

10251564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10251569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22254 + ... + 22709.

It is an arithmetic number, because the mean of its divisors is an integer number (1049160).

Almost surely, 2^10251564 is an apocalyptic number.

It is an amenable number.

10251564 is an abundant number, since it is smaller than the sum of its proper divisors (14928276).

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

10251564 is a wasteful number, since it uses less digits than its factorization.

10251564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44989 (or 44987 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10251564 is about 3201.8063651633. The cubic root of 10251564 is about 217.2351221315.

Adding to 10251564 its reverse (46515201), we get a palindrome (56766765).

The spelling of 10251564 in words is "ten million, two hundred fifty-one thousand, five hundred sixty-four".