31228191225 has 567 divisors, whose sum is σ = 78858176061. Its totient is φ = 12214540800.

The previous prime is 31228191199. The next prime is 31228191277. The reversal of 31228191225 is 52219182213.

31228191225 = 1³ + 2³ + ... + 594³.

The square root of 31228191225 is 176715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 730458729 + 30497732496 = 27027^2 + 174636^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 31228191225 - 2¹⁹ = 31227666937 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31228191225.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 1836952417 + ... + 1836952433.

Almost surely, 2^31228191225 is an apocalyptic number.

31228191225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31228191225 is the 176715-th square number.

31228191225 is the 88358-th centered octagonal number.

It is an amenable number.

31228191225 is an abundant number, since it is smaller than the sum of its proper divisors (47629984836).

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

31228191225 is a wasteful number, since it uses less digits than its factorization.

31228191225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 43 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Multiplying 31228191225 by its sum of digits (36), we get a square (1124214884100 = 1060290²).

The spelling of 31228191225 in words is "thirty-one billion, two hundred twenty-eight million, one hundred ninety-one thousand, two hundred twenty-five".