58001265 has 80 divisors (see below), whose sum is σ = 121968000. Its totient is φ = 25816320.

The previous prime is 58001197. The next prime is 58001267. The reversal of 58001265 is 56210085.

It is not a de Polignac number, because 58001265 - 2¹⁴ = 57984881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (58001267) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115986 + ... + 116484.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 2^58001265 is an apocalyptic number.

It is an amenable number.

58001265 is an abundant number, since it is smaller than the sum of its proper divisors (63966735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58001265 is a wasteful number, since it uses less digits than its factorization.

58001265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 58001265 is about 7615.8561567299. The cubic root of 58001265 is about 387.0904782141.

The spelling of 58001265 in words is "fifty-eight million, one thousand, two hundred sixty-five".