62241070268601 has 135 divisors (see below), whose sum is σ = 109368620987967. Its totient is φ = 35172397290240.

The previous prime is 62241070268599. The next prime is 62241070268603. The reversal of 62241070268601 is 10686207014226.

The square root of 62241070268601 is 7889301.

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

62241070268601 is a `hidden beast` number, since 6 + 2 + 2 + 4 + 10 + 7 + 0 + 26 + 8 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (62241070268599) and next prime (62241070268603).

It can be written as a sum of positive squares in only one way, i.e., 27948615356025 + 34292454912576 = 5286645^2 + 5855976^2 .

It is not a de Polignac number, because 62241070268601 - 2¹ = 62241070268599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (62241070268603) 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, 48211517766 + ... + 48211519056.

Almost surely, 2^{62241070268601} is an apocalyptic number.

62241070268601 is the 7889301-st square number.

62241070268601 is the 3944651-st centered octagonal number.

It is an amenable number.

62241070268601 is a deficient number, since it is larger than the sum of its proper divisors (47127550719366).

62241070268601 is an frugal number, since it uses more digits than its factorization.

62241070268601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 62241070268601 in words is "sixty-two trillion, two hundred forty-one billion, seventy million, two hundred sixty-eight thousand, six hundred one".