1523953215225 has 135 divisors (see below), whose sum is σ = 3284605975167. Its totient is φ = 696486561120.

The previous prime is 1523953215223. The next prime is 1523953215241. The reversal of 1523953215225 is 5225123593251.

The square root of 1523953215225 is 1234485.

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

1523953215225 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 95 + 32 + 1 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 548623157481 + 975330057744 = 740691^2 + 987588^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1523953215225 - 2¹ = 1523953215223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1523953215223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 388860816 + ... + 388864734.

Almost surely, 2^{1523953215225} is an apocalyptic number.

1523953215225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1523953215225 is the 1234485-th square number.

1523953215225 is the 617243-rd centered octagonal number.

It is an amenable number.

1523953215225 is an abundant number, since it is smaller than the sum of its proper divisors (1760652759942).

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

1523953215225 is an frugal number, since it uses more digits than its factorization.

1523953215225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 3934 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 1523953215225 in words is "one trillion, five hundred twenty-three billion, nine hundred fifty-three million, two hundred fifteen thousand, two hundred twenty-five".