1506610061010 has 160 divisors (see below), whose sum is σ = 4092343569072. Its totient is φ = 397689937920.

The previous prime is 1506610060987. The next prime is 1506610061027. The reversal of 1506610061010 is 101600166051.

It can be written as a sum of positive squares in 8 ways, for example, as 388855757889 + 1117754303121 = 623583^2 + 1057239^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39153180 + ... + 39191640.

Almost surely, 2^{1506610061010} is an apocalyptic number.

1506610061010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506610061010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046171784536).

1506610061010 is an abundant number, since it is smaller than the sum of its proper divisors (2585733508062).

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

1506610061010 is a wasteful number, since it uses less digits than its factorization.

1506610061010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38970 (or 38961 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1506610061010 in words is "one trillion, five hundred six billion, six hundred ten million, sixty-one thousand, ten".