345210121521 has 24 divisors (see below), whose sum is σ = 500021276040. Its totient is φ = 229501440000.

The previous prime is 345210121499. The next prime is 345210121547. The reversal of 345210121521 is 125121012543.

It is a happy number.

345210121521 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 10 + 121 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5916686400 + 339293435121 = 76920^2 + 582489^2 .

It is not a de Polignac number, because 345210121521 - 2¹⁴ = 345210105137 is a prime.

It is a super-3 number, since 3×345210121521³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345210121561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15150025 + ... + 15172793.

It is an arithmetic number, because the mean of its divisors is an integer number (20834219835).

Almost surely, 2^345210121521 is an apocalyptic number.

It is an amenable number.

345210121521 is a deficient number, since it is larger than the sum of its proper divisors (154811154519).

345210121521 is a wasteful number, since it uses less digits than its factorization.

345210121521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27377 (or 27374 counting only the distinct ones).

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

The spelling of 345210121521 in words is "three hundred forty-five billion, two hundred ten million, one hundred twenty-one thousand, five hundred twenty-one".