31402742554225 has 81 divisors (see below), whose sum is σ = 46921173813891. Its totient is φ = 20787015513600.

The previous prime is 31402742554133. The next prime is 31402742554231. The reversal of 31402742554225 is 52245524720413.

The square root of 31402742554225 is 5603815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25664264812081 + 5738477742144 = 5065991^2 + 2395512^2 .

It is not a de Polignac number, because 31402742554225 - 2¹⁷ = 31402742423153 is a prime.

It is a super-2 number, since 2×31402742554225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5687869465 + ... + 5687874985.

Almost surely, 2^{31402742554225} is an apocalyptic number.

31402742554225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31402742554225 is the 5603815-th square number.

31402742554225 is the 2801908-th centered octagonal number.

It is an amenable number.

31402742554225 is a deficient number, since it is larger than the sum of its proper divisors (15518431259666).

31402742554225 is an frugal number, since it uses more digits than its factorization.

31402742554225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 46.

The spelling of 31402742554225 in words is "thirty-one trillion, four hundred two billion, seven hundred forty-two million, five hundred fifty-four thousand, two hundred twenty-five".