725403416737253 has 2 divisors, whose sum is σ = 725403416737254. Its totient is φ = 725403416737252.

The previous prime is 725403416737201. The next prime is 725403416737289. The reversal of 725403416737253 is 352737614304527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687923038954369 + 37480377782884 = 26228287^2 + 6122122^2 .

It is a cyclic number.

It is not a de Polignac number, because 725403416737253 - 2²⁶ = 725403349628389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725403416737192 and 725403416737201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725403416437253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362701708368626 + 362701708368627.

It is an arithmetic number, because the mean of its divisors is an integer number (362701708368627).

Almost surely, 2^{725403416737253} is an apocalyptic number.

It is an amenable number.

725403416737253 is a deficient number, since it is larger than the sum of its proper divisors (1).

725403416737253 is an equidigital number, since it uses as much as digits as its factorization.

725403416737253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88905600, while the sum is 59.

The spelling of 725403416737253 in words is "seven hundred twenty-five trillion, four hundred three billion, four hundred sixteen million, seven hundred thirty-seven thousand, two hundred fifty-three".