1025229151296 has 735 divisors, whose sum is σ = 3634200393637. Its totient is φ = 285778160640.

The previous prime is 1025229151279. The next prime is 1025229151301. The reversal of 1025229151296 is 6921519225201.

The square root of 1025229151296 is 1012536.

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

1025229151296 is a `hidden beast` number, since 1 + 0 + 25 + 2 + 29 + 1 + 512 + 96 = 666.

1025229151296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 49401285696 + 975827865600 = 222264^2 + 987840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 25005589036 + ... + 25005589076.

Almost surely, 2^{1025229151296} is an apocalyptic number.

1025229151296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1025229151296 is the 1012536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025229151296

1025229151296 is an abundant number, since it is smaller than the sum of its proper divisors (2608971242341).

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

1025229151296 is an frugal number, since it uses more digits than its factorization.

1025229151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1025229151296 in words is "one trillion, twenty-five billion, two hundred twenty-nine million, one hundred fifty-one thousand, two hundred ninety-six".