5625315144 has 24 divisors (see below), whose sum is σ = 15235228710. Its totient is φ = 1875105024.

The previous prime is 5625315139. The next prime is 5625315187. The reversal of 5625315144 is 4415135265.

5625315144 is a `hidden beast` number, since 5 + 625 + 3 + 15 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4715568900 + 909746244 = 68670^2 + 30162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5625315099 and 5625315108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39064617 + ... + 39064760.

Almost surely, 2^5625315144 is an apocalyptic number.

It is an amenable number.

5625315144 is an abundant number, since it is smaller than the sum of its proper divisors (9609913566).

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

5625315144 is a wasteful number, since it uses less digits than its factorization.

5625315144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78129389 (or 78129382 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5625315144 is about 75002.1009305739. The cubic root of 5625315144 is about 1778.4798644717.

The spelling of 5625315144 in words is "five billion, six hundred twenty-five million, three hundred fifteen thousand, one hundred forty-four".