5953819921 has 27 divisors (see below), whose sum is σ = 7068858363. Its totient is φ = 5000032800.

The previous prime is 5953819919. The next prime is 5953819933. The reversal of 5953819921 is 1299183595.

The square root of 5953819921 is 77161.

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

It can be written as a sum of positive squares in only one way, i.e., 3379678225 + 2574141696 = 58135^2 + 50736^2 .

It is not a de Polignac number, because 5953819921 - 2¹ = 5953819919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5953819901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39429196 + ... + 39429346.

It is an arithmetic number, because the mean of its divisors is an integer number (261809569).

Almost surely, 2^5953819921 is an apocalyptic number.

5953819921 is the 77161-st square number.

5953819921 is the 38581-st centered octagonal number.

It is an amenable number.

5953819921 is a deficient number, since it is larger than the sum of its proper divisors (1115038442).

5953819921 is an frugal number, since it uses more digits than its factorization.

5953819921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its digits is 874800, while the sum is 52.

The cubic root of 5953819921 is about 1812.4466491534.

The spelling of 5953819921 in words is "five billion, nine hundred fifty-three million, eight hundred nineteen thousand, nine hundred twenty-one".