157478017225 has 9 divisors (see below), whose sum is σ = 195275201767. Its totient is φ = 125980826440.

The previous prime is 157478017211. The next prime is 157478017259. The reversal of 157478017225 is 522710874751.

The square root of 157478017225 is 396835.

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

157478017225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56692086201 + 100785931024 = 238101^2 + 317468^2 .

It is not a de Polignac number, because 157478017225 - 2¹⁵ = 157477984457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1944492 + ... + 2023858.

Almost surely, 2^157478017225 is an apocalyptic number.

157478017225 is the 396835-th square number.

157478017225 is the 198418-th centered octagonal number.

It is an amenable number.

157478017225 is a deficient number, since it is larger than the sum of its proper divisors (37797184542).

157478017225 is an frugal number, since it uses more digits than its factorization.

157478017225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158744 (or 79372 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 49.

Multiplying 157478017225 by its sum of digits (49), we get a square (7716422844025 = 2777845²).

The spelling of 157478017225 in words is "one hundred fifty-seven billion, four hundred seventy-eight million, seventeen thousand, two hundred twenty-five".