1251534464 has 32 divisors (see below), whose sum is σ = 2504237700. Its totient is φ = 623020032.

The previous prime is 1251534461. The next prime is 1251534467. The reversal of 1251534464 is 4644351521.

It is an interprime number because it is at equal distance from previous prime (1251534461) and next prime (1251534467).

It can be written as a sum of positive squares in 2 ways, for example, as 1247502400 + 4032064 = 35320^2 + 2008^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1251534461) 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, 7964 + ... + 50660.

Almost surely, 2^1251534464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252118850).

1251534464 is an abundant number, since it is smaller than the sum of its proper divisors (1252703236).

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

1251534464 is an equidigital number, since it uses as much as digits as its factorization.

1251534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42940 (or 42928 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 1251534464 is about 35377.0330016524. The cubic root of 1251534464 is about 1077.6579517693.

Adding to 1251534464 its reverse (4644351521), we get a palindrome (5895885985).

The spelling of 1251534464 in words is "one billion, two hundred fifty-one million, five hundred thirty-four thousand, four hundred sixty-four".