196741038025 has 243 divisors, whose sum is σ = 324268536501. Its totient is φ = 118035308160.

The previous prime is 196741038019. The next prime is 196741038031. The reversal of 196741038025 is 520830147691.

The square root of 196741038025 is 443555.

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

It is an interprime number because it is at equal distance from previous prime (196741038019) and next prime (196741038031).

It can be written as a sum of positive squares in 4 ways, for example, as 2704312009 + 194036726016 = 52003^2 + 440496^2 .

It is not a de Polignac number, because 196741038025 - 2⁵ = 196741037993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6784173711 + ... + 6784173739.

It is a 1-persistent number, because it is pandigital, but 2⋅196741038025 = 393482076050 is not.

Almost surely, 2^196741038025 is an apocalyptic number.

196741038025 is the 443555-th square number.

196741038025 is the 221778-th centered octagonal number.

It is an amenable number.

196741038025 is a deficient number, since it is larger than the sum of its proper divisors (127527498476).

196741038025 is a wasteful number, since it uses less digits than its factorization.

196741038025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 196741038025 in words is "one hundred ninety-six billion, seven hundred forty-one million, thirty-eight thousand, twenty-five".