4921631325625 has 75 divisors (see below), whose sum is σ = 7178619241673. Its totient is φ = 3372969390000.

The previous prime is 4921631325623. The next prime is 4921631325631. The reversal of 4921631325625 is 5265231361294.

The square root of 4921631325625 is 2218475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 385855895929 + 4535775429696 = 621173^2 + 2129736^2 .

It is not a de Polignac number, because 4921631325625 - 2¹ = 4921631325623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4921631325623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2717630970 + ... + 2717632780.

Almost surely, 2^{4921631325625} is an apocalyptic number.

4921631325625 is the 2218475-th square number.

4921631325625 is the 1109238-th centered octagonal number.

It is an amenable number.

4921631325625 is a deficient number, since it is larger than the sum of its proper divisors (2256987916048).

4921631325625 is an frugal number, since it uses more digits than its factorization.

4921631325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 1823 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 49.

Multiplying 4921631325625 by its sum of digits (49), we get a square (241159934955625 = 15529325²).

4921631325625 divided by its sum of digits (49) gives a square (100441455625 = 316925²).

The spelling of 4921631325625 in words is "four trillion, nine hundred twenty-one billion, six hundred thirty-one million, three hundred twenty-five thousand, six hundred twenty-five".