1506486212100 has 243 divisors, whose sum is σ = 4770148648629. Its totient is φ = 397674360000.

The previous prime is 1506486212081. The next prime is 1506486212129. The reversal of 1506486212100 is 12126846051.

It is a happy number.

The square root of 1506486212100 is 1227390.

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

1506486212100 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 4 + 8 + 621 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 542335036356 + 964151175744 = 736434^2 + 981912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6001936975 + ... + 6001937225.

Almost surely, 2^{1506486212100} is an apocalyptic number.

1506486212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1506486212100 is the 1227390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506486212100

1506486212100 is an abundant number, since it is smaller than the sum of its proper divisors (3263662436529).

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

1506486212100 is a wasteful number, since it uses less digits than its factorization.

1506486212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 1506486212100 by its sum of digits (36), we get a square (54233503635600 = 7364340²).

1506486212100 divided by its sum of digits (36) gives a square (41846839225 = 204565²).

The spelling of 1506486212100 in words is "one trillion, five hundred six billion, four hundred eighty-six million, two hundred twelve thousand, one hundred".