415153601425 has 24 divisors (see below), whose sum is σ = 515414745720. Its totient is φ = 331720435200.

The previous prime is 415153601419. The next prime is 415153601453. The reversal of 415153601425 is 524106351514.

It can be written as a sum of positive squares in 12 ways, for example, as 208944066816 + 206209534609 = 457104^2 + 454103^2 .

It is a de Polignac number, because none of the positive numbers 2^k-415153601425 is a prime.

It is a super-2 number, since 2×415153601425² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122498631 + ... + 122502019.

It is an arithmetic number, because the mean of its divisors is an integer number (21475614405).

Almost surely, 2^415153601425 is an apocalyptic number.

It is an amenable number.

415153601425 is a deficient number, since it is larger than the sum of its proper divisors (100261144295).

415153601425 is a wasteful number, since it uses less digits than its factorization.

415153601425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 415153601425 its reverse (524106351514), we get a palindrome (939259952939).

The spelling of 415153601425 in words is "four hundred fifteen billion, one hundred fifty-three million, six hundred one thousand, four hundred twenty-five".