152805305010 has 32 divisors (see below), whose sum is σ = 369532228032. Its totient is φ = 40437026240.

The previous prime is 152805304973. The next prime is 152805305071. The reversal of 152805305010 is 10503508251.

152805305010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152805305010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19436949 + ... + 19444808.

It is an arithmetic number, because the mean of its divisors is an integer number (11547882126).

Almost surely, 2^152805305010 is an apocalyptic number.

152805305010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152805305010 is an abundant number, since it is smaller than the sum of its proper divisors (216726923022).

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

152805305010 is a wasteful number, since it uses less digits than its factorization.

152805305010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38881898.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 152805305010 in words is "one hundred fifty-two billion, eight hundred five million, three hundred five thousand, ten".