65151541504 has 243 divisors, whose sum is σ = 157858407693. Its totient is φ = 26758158336.

The previous prime is 65151541493. The next prime is 65151541529. The reversal of 65151541504 is 40514515156.

The square root of 65151541504 is 255248.

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

It can be written as a sum of positive squares in only one way, i.e., 46967558400 + 18183983104 = 216720^2 + 134848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1229274342 + ... + 1229274394.

Almost surely, 2^65151541504 is an apocalyptic number.

65151541504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65151541504 is the 255248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65151541504

65151541504 is an abundant number, since it is smaller than the sum of its proper divisors (92706866189).

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

65151541504 is an frugal number, since it uses more digits than its factorization.

65151541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 65151541504 in words is "sixty-five billion, one hundred fifty-one million, five hundred forty-one thousand, five hundred four".