1504142809225 has 81 divisors (see below), whose sum is σ = 2206734773607. Its totient is φ = 1014075326880.

The previous prime is 1504142809199. The next prime is 1504142809229. The reversal of 1504142809225 is 5229082414051.

The square root of 1504142809225 is 1226435.

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., 541491411321 + 962651397904 = 735861^2 + 981148^2 .

It is not a de Polignac number, because 1504142809225 - 2⁹ = 1504142808713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1504142809229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2875989814 + ... + 2875990336.

Almost surely, 2^{1504142809225} is an apocalyptic number.

1504142809225 is the 1226435-th square number.

1504142809225 is the 613218-th centered octagonal number.

It is an amenable number.

1504142809225 is a deficient number, since it is larger than the sum of its proper divisors (702591964382).

1504142809225 is an frugal number, since it uses more digits than its factorization.

1504142809225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 1504142809225 in words is "one trillion, five hundred four billion, one hundred forty-two million, eight hundred nine thousand, two hundred twenty-five".